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Simplifying (2x + -3y) + (4x + 5y) = 0 Remove parenthesis around (2x + -3y) 2x + -3y + (4x + 5y) = 0 Remove parenthesis around (4x + 5y) 2x + -3y + 4x + 5y = 0 Reorder the terms: 2x + 4x + -3y + 5y = 0 Combine like terms: 2x + 4x = 6x 6x + -3y + 5y = 0 Combine like terms: -3y + 5y = 2y 6x + 2y = 0 Solving 6x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 6x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 6x + 0 = 0 + -2y 6x = 0 + -2y Remove the zero: 6x = -2y Divide each side by '6'. x = -0.3333333333y Simplifying x = -0.3333333333y
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